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projective modules relative to a semiradical property | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 24، دوره 14، شماره 10، دی 2023، صفحه 283-292 اصل مقاله (543.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29948.4299 | ||
| نویسندگان | ||
| Entisar Al–Dhahari* ؛ Bahar Al–Bahrani | ||
| Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq | ||
| تاریخ دریافت: 25 آبان 1401، تاریخ بازنگری: 30 بهمن 1401، تاریخ پذیرش: 11 اسفند 1401 | ||
| چکیده | ||
| In this paper, we introduce a generalization of the projective modules. We show that for a module $M=M_1 \bigoplus M_2$. If $M_2$ is s.p-$M_1$-projective, then for every s.p-closed submodule $A$ of $M$ with $M=M_1+A$, there exists a submodule $K$ of $A$ such that $M=M_1 \bigoplus K$. | ||
| کلیدواژهها | ||
| s.p- closed submodules؛ projective module؛ s.p- projective module | ||
| مراجع | ||
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